Tradeoff between message and state information rates

• Published in: Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252) p. 303
• Main Authors: Sutivong, A., Cover, T.M., Mung Chiang
• Format: Conference Proceeding
• Language: English
• Published: IEEE 2001
• Subjects: Additive noise; Decoding; Distortion measurement; Gaussian noise; Information rates; Information systems; Laboratories; State estimation; Transmitters
• ISBN: 9780780371231; 0780371232
• DOI: 10.1109/ISIT.2001.936166

We consider a communication problem where the sender has access to the channel state information and wishes to send both the message information and the state information across the channel. The novelty in characterizing the tradeoff between the message information rate and state estimation error arises primarily because of the instability of encoding and decoding the state information. The tradeoff region is typically difficult to obtain even for a simple channel. We characterize the optimal trade-off for the binary channel Y/sup n/=X/sup n//spl oplus/S/sup n//spl oplus/Z/sup n/, where S/sup n/ is available at the transmitter. We also prove the optimality of the extreme points of the conjectured tradeoff region for the additive Gaussian channel Y/sup n/=X/sup n/+S/sup n/+Z/sup n/, with S/sup n/ i.i.d./spl sim/N(0,Q) known at the encoder and unknown noise Z/sup n/ i.i.d./spl sim/N(0,N).